Fractal visionaries and enthusiasts:  

Can the expression (-Z)^(1.06)+C create a fractal?  This expression is mighty close to linear.  Well, as today's image shows, it certainly can.  But it does not do so with a trick.  Today's trick is viewing the eastern side of the resulting Mandeloid at an angle double rotated 15,15 degrees from the Julia direction.

When this is done, we get something I have named "Fire Beast".  But don't expect a wild animal in the scene.  The beast is purely abstract.  Actually, similar beasts exists in fractals with exponents less than 1.01, and a future FOTD might put some of these exotic creatures on display.

The art rates an 8, which rewards me for the effort I put into the colors.  The math rates a 7, since it's not every day that such an unlikely scene is revealed.

The calculation time of 1-3/4 minutes may be avoided by checking one of the FOTD web sites.

Today brought a mix of sun and clouds, and a temperature of 66F 19C to Fractal Central, making the day quite a pleasant one for early November.  The fractal cats took turns enjoying the open window, while the fractal humans enjoyed the savings on fuel.

The next FOTD will be posted in the appropriate time.  Until whenever that might be, take care, and it appears that cosmology is becoming the new religion, with the universe as the deity.  Unfortunately, the universe is not nearly as kind and caring a god as the old traditional gods were, though it is equally as mysterious.

Jim Muth
jimmuth@earthlink.net


START PARAMETER FILE=======================================

Fire_Beast         { ; time=0:01:45.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=SliceJulibrot5 center-mag=0.0685241/0/\
  2.418736/0.8148/90/0 params=75/0/75/0/1.231/0/0/0/\
  1.06/0 float=y maxiter=7200 inside=0 periodicity=6
  colors=000RFdPDWQFXPGTPFQRISSIUSKUSMUSOUQQUOSXMUYK\
  V_IXaLWbOXbRWbUXbWWcZXcaWcdXcgXcjXclXcoXciVafT_bRY\
  ZPWVNVRLTNJRJHP95QFFOKOMPYKUfIZoHXpKVqMUrPSrRQsUPt\
  WNtZR0NS0OT0PU0QV0RW0SX1TY2UZ3V_4W`5Xa6Yb9Zc8_dC`f\
  DbgHdiMfkPhmUjnYlpbnrapukusfrqioohlmgilffjecheafdZ\
  dcWcbTaaQ_`NY_KUaDX_I_ZMbXQdWUgUYjTblRfoQjrOnwOvtN\
  rqMonLlkLhiKefJbcI_`IWYHTWGQTFNQFJNEGKDDIDAiZ_hXah\
  VchUehSfhQhhPjgNkgMmgKogIpgHrgFtgEueZocsidqfdpddna\
  dm_dlXdjVeiSegQefNeeLecIebGieBeaEaZHYVKUSNQOQTOJNL\
  THIaBFj2Bv5Ds8EqBGnEHlHJiKKgNMdPNbSP_VQYYSV`TTzMAz\
  KAzGAzEAyBAxCAsBAtAAqAAp9Ao9Am89m7Ai7Bk6Cd57j6Ch6H\
  j7Ll7Qn7Vp8Zr8cz3ht8gnCghGgbLgYPfSTfMYfGafBefAcbAa\
  ZA`V9ZR9YN9WJ8VF8TB6Q98S89U8AW8CY8D_8Ea7Fc7He7Ig7J\
  i7Kk6Mm6No6Oq6Pr6Qp8Ro9SnATmBUlCVkEWjFXiGYhHZgI_fK\
  `eLadMbcNXmPcbOiTOoJOxAPu9Or9Oo9Ol9Oi8Of8Nc8N`8NY7\
  NV7NS7MP7MM6MJ6MG6ME2OE6M }

frm:SliceJulibrot5   {; draws all slices of Julibrot
  pix=pixel, u=real(pix), v=imag(pix),
  a=pi*real(p1*0.0055555555555556),
  b=pi*imag(p1*0.0055555555555556),
  g=pi*real(p2*0.0055555555555556),
  d=pi*imag(p2*0.0055555555555556),
  ca=cos(a), cb=cos(b), sb=sin(b), cg=cos(g),
  sg=sin(g), cd=cos(d), sd=sin(d),
  p=u*cg*cd-v*(ca*sb*sg*cd+ca*cb*sd),
  q=u*cg*sd+v*(ca*cb*cd-ca*sb*sg*sd),
  r=u*sg+v*ca*sb*cg, s=v*sin(a), esc=imag(p5)+9
  c=p+flip(q)+p3, z=r+flip(s)+p4:
  z=(-z)^(real(p5))+c
  |z|< esc }

END PARAMETER FILE=========================================